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3*e^x
Solving integrals/ 3*e^x

Integral of 3*e^x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
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0
∫013ex dx\int\limits_{0}^{1} 3 e^{x}\, dx 
Integral(3*E^x, (x, 0, 1))
Detail solution

  1. The integral of a constant times a function is the constant times the integral of the function:

    ∫3ex dx=3∫ex dx\int 3 e^{x}\, dx = 3 \int e^{x}\, dx

    1. The integral of the exponential function is itself.

      ∫ex dx=ex\int e^{x}\, dx = e^{x}

    So, the result is: 3ex3 e^{x}

  2. Add the constant of integration:

    3ex+constant3 e^{x}+ \mathrm{constant}

The answer is:

3ex+constant3 e^{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
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 |    x             x
 | 3*E  dx = C + 3*e 
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∫3ex dx=C+3ex\int 3 e^{x}\, dx = C + 3 e^{x}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
-3 + 3*E
−3+3e-3 + 3 e 
=
= 
-3 + 3*E
−3+3e-3 + 3 e 
-3 + 3*E
Numerical answer [src] 
5.15484548537714
5.15484548537714
The graph
Integral of 3*e^x dx

    Use the examples entering the upper and lower limits of integration.

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